Question

How do you solve the proportion `y/3=8/9`?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(3)` to solve for `y` while keeping the equation balanced:

`color(red)(3) xx y/3 = color(red)(3) xx 8/9`

`cancel(color(red)(3)) xx y/color(red)(cancel(color(black)(3))) = (color(red)(3) xx 8)/(3 xx 3)`

`y = (cancel(color(red)(3)) xx 8)/(color(red)(cancel(color(black)(3))) xx 3)`

`y = 8/3` or `y = 2.bar6`